Pre-Algebra Unit 2 Exam Vocab Review

These are a mathematical statement that uses an equal sign to show that two or more mathematical statements are equal. Example: 4x - 7 = 2x + 13

• algebraic expression

• constant

• equation

• numerical expression

Answer explanation

The statement '4x - 7 = 2x + 13' uses an equal sign to show that two expressions are equal, which defines it as an equation. An algebraic expression does not include an equal sign, making 'equation' the correct choice.

When you multiply a negative number and a positive number, your answer is ALWAYS a ______.

• positive number

• negative number

Answer explanation

When you multiply a negative number by a positive number, the result is always negative. This is a fundamental rule of multiplication involving negative and positive numbers.

When you multiply two negative numbers, your answer is ALWAYS a ______.

• positive number

• negative number

Answer explanation

When you multiply a negative number by a positive number, the result is always negative. This is a fundamental rule of multiplication involving negative and positive numbers.

These are usually represented by a number & are a quantity that doesn't change. For example the number 8 in the expression x -8.

• constant

• equation

• numerical expression

• variable

Answer explanation

The term 'constant' refers to a fixed quantity that does not change, such as the number 8 in the expression 8x. In contrast, variables can change, making 'constant' the correct choice.

How many terms are there in the algebraic expression: 3x - 4y + 4 - x + 7?

• 2

• 3

• 4

• 5

Answer explanation

The expression 3x - 4y + 4 - x + 7 has 5 distinct terms: 3x, -4y, 4, -x, and 7. Each term is separated by a '+' or '-' sign, making the correct answer 5.

In the expression, 3x - 4y + 4 - x + 7, which like terms could be combined?

• 3x & 4

• 3x & - x

• 4 & - 4y

• - 4y & - x

Answer explanation

In the expression 3x - 4y + 4 - x + 7, like terms are those with the same variable. Here, 3x and -x both contain the variable x, so they can be combined. The correct choice is 3x & -x.

What word describes the letter x in the expression 6x - 1?

• Constant

• Coefficient

• Numerical Expression

• Variable

Answer explanation

In the expression 6x - 1, the letter x represents a variable, which is a symbol used to denote an unknown value. The correct choice is 'Variable' as it describes the role of x in the expression.

What word describes the number 8 in the expression 8v - 1?

• Coefficient

• Numerical Expression

• Variable

• Algebraic Expression

Answer explanation

In the expression 8v - 1, the number 8 is a coefficient. It multiplies the variable v, indicating how many times v is counted. Therefore, the correct term to describe 8 is 'coefficient'.

If there is only a variable in an expression like 5y - x, the coefficient of the variable x is ????

• Zero

• One

• Ten

Answer explanation

In the expression 5y - x, the variable x has an implied coefficient of -1. However, since the question asks for the coefficient of x when only considering the variable, it is 1, as coefficients are typically expressed as positive values.

Which would be the correct simplified expression for 4(x - 2y)

• 4x - 8

• 4x - 2y

• 8x - 4y

• 4x - 8y

Answer explanation

To simplify 4(x - 2y), distribute 4: 4*x - 4*2y = 4x - 8y. Thus, the correct simplified expression is 4x - 8y.